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If in an A.P. the sum of m terms is equ...

If in an A.P. the sum of `m` terms is equal of `n` and the sum of `n` terms is equal to `m ,` then prove that the sum of `-(m+n)` terms is `(m+n)`.

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If in an A.P. the sum of m terms is equal to n and the sum of n terms is equal to m then prove that the sum of (m+n) terms is -(m+n)

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
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  8. If a ,b ,c are in A.P., then prove that: (a – c)^2 = 4(b^2 – ac).

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  9. If a^2(b+c),b^2(c+a),c^2(a+b), are in A.P. show that either a ,b ,c ar...

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  10. If n arithemetic means are inserted between 20 and 80 such that the ra...

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  11. Along a road lie an odd number of stones placed at intervals of 10 met...

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  12. A carpenter was hired to build 192 window frames. The first day he mad...

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  13. In a potato race 20 potatoes are placed in a line at intervals of 4m e...

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  14. We know that the sum of the interior angles of a triangle is180^0 . S...

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  15. If S1 be the sum of (2n+1) term of an A.P. and S2 be the sum of its od...

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  16. Divide 32 into four parts which are in A.P. such that the product of ...

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  17. If theta1,theta2,theta3, ,thetan are in AP, whose common difference ...

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  18. If (m+1) term of an A.P. is twice the(n+1) th term, prove that (3m+1) ...

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  19. If a1,a2,a3, ,an are in A.P. with common difference d(w h e r ed!=0), ...

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  20. If an A.P. is such that (a4)/(a7)=2/7, find (a6)/(a8) .

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